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Practice: Volume of Objects Composed of Right Rectangular Prisms
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Practice Page
Directions: Read carefully. Note: Actual measurements may have been rounded to the nearest tenth.
The term "box" may be used to represent a right rectangular prism.

1.
A series of four small boxes are stacked as shown, resting atop one another. The bottom box measures length = 12", width = 12", and height = 3". Each box, above the bottom, will measure two inches less in both length and width than the box below it. Heights will remain the same. Find the total volume contained in all four boxes.
Choose:
1080 cu.in.
1032 cu.in.
924 cu.in.
908 cu.in.
boxStack1
Right Rectangular Prisms
"Boxes"

 

 

2.
Two right rectangular prisms are stacked as shown. What is the combined volume, in cubic inches, for this figure?
Choose:
120
240
330
360
Boxstack5a

 

 

3.
A storage building is composed of right rectangular prisms. What is the volume of the storage building in cubic feet?
Choose:
2301¾
2952
650¼
22913¾

boxstack6a

Right Rectangular Prisms ("Boxes")

 

 

4.
Each cube measures 3 inches on all sides. Each level in the stack of cubes forms a rectangle (no missing cubes). Find the total volume, in cubic inches, of all of the cubes.

Choose:
270 cu. in.
783 cu. in.
810 cu. in.
1024 cu. in.
boxstack2

 

 

5.
The figure below is composed of right rectangular prisms. Find the volume of the figure, in cubic yards.
 
Choose:
368
372
384
420
boxstack7

 

 

6.
A right rectangular prism has a hole cut completely through its center. The hole is a small rectangular prism. How many cubic feet remain in the large prism after the hole is cut out?
Choose:
22 cu.ft.
28 cu.ft.
22½ cu.ft.
21¾ cu.ft.
boxstack9

 

 

7.
Jake builds a tunneling playhouse, for his kitten, that is composed of 3 cube boxes and 2 connecting boxes. Find the volume of the playhouse to the nearest tenth of a cubic foot.
 
Choose:
18.5 cu. ft.
10.7 cu. ft.
128.2 cu. ft.
184.6 cu. ft.
boxstack8boxstack8a

 

 

8.
There are three right rectangular prisms all with a height of 4 cm. The first prism has a length of 5 cm. and a width of 9 cm. The second prism has a length twice that of the first prism, and a width of 5 more than the width of the first prism. The third prism has a length and width that are the sums of the lengths and widths of the first and second prisms, respectively.
What is the volume, in cubic centimeters, of a figure compose of these three prisms?
 
Choose:
3150 cu.cm.
560 cu.cm.
1380 cu.cm.
2120 cu.cm.

 

 

9.
Given: 1½ inch stacking cubes as shown at the right. There are no hidden missing cubes.
Task: Find the volume of this stack of cubes, in cubic inches.
Choose:
block2 cu. in.
block1cu. in.
block3cu. in.
block4cu. in.
yelloblock3D1
There are no unseen holes
in this digram.

 

 

10.
The larger the surface area of an ice cube the more heat it absorbs, so the faster it will melt. icecompare
a) Find the volume of the standard ice cube.
 Choose:
1 cu.in.
6 cu.in.
4 cu.in.
3 cu.in.

b) Find the volume of the rectangular ice prism.
Choose:
1 cu.in.
6 cu.in.
3½ cu.in.
4½ cu.in.

c) Find the surface area of the standard ice cube.
Choose:
1 sq.in.
6 sq.in.
4 sq.in.
3 sq.in.

d) Find the surface area of the rectangular ice prism.
Choose:
8 sq.in.
7 sq.in.
6 sq.in.
3½ sq.in.

e) Conclusion:
 Choose:
Both have the same volume and will melt at the same speed.
Both have the same surface area and will melt at the same speed.
The rectangular ice prism has a larger surface area and will melt faster.
The standard ice cube has s smaller surface area and will melt faster.



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